KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    Two blocks each of mass m in the device are pulled by a force \[F=\text{ }mg/2\] as shown in figure. All the contact surfaces are smooth. The acceleration of block A is

    A) \[\frac{\sqrt{5}}{4}g\]

    B) \[\frac{\sqrt{3}}{2}g\]

    C) \[\frac{g}{2}\]

    D) \[\frac{g}{4}\]  

    Correct Answer: A

    Solution :

    For the system as a whole,
    \[\therefore \]      \[{{a}_{x}}=g/4\]
    For block A,\[\frac{mg}{2}=m{{a}_{y}}\]
    \[\therefore \]      \[{{a}_{y}}=g/2\]
    Thus \[{{a}_{A}}=\sqrt{a_{x}^{2}+a_{y}^{2}}=\sqrt{{{\left( \frac{g}{4} \right)}^{2}}+{{\left( \frac{g}{2} \right)}^{2}}}\]

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